Search a number
-
+
224246748 = 2231110715877
BaseRepresentation
bin11010101110110…
…11101111011100
3120121221220201010
431113123233130
5424401343443
634130215220
75362031415
oct1527335734
9517856633
10224246748
111056439a0
1263124510
13375c66ab
1421ad480c
1514a48733
hexd5dbbdc

224246748 has 48 divisors (see below), whose sum is σ = 576180864. Its totient is φ = 67314240.

The previous prime is 224246747. The next prime is 224246749. The reversal of 224246748 is 847642422.

It is an interprime number because it is at equal distance from previous prime (224246747) and next prime (224246749).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224246747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6186 + ... + 22062.

It is an arithmetic number, because the mean of its divisors is an integer number (12003768).

Almost surely, 2224246748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224246748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288090432).

224246748 is an abundant number, since it is smaller than the sum of its proper divisors (351934116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224246748 is a wasteful number, since it uses less digits than its factorization.

224246748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16002 (or 16000 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 224246748 is about 14974.8705503587. The cubic root of 224246748 is about 607.5407102390.

The spelling of 224246748 in words is "two hundred twenty-four million, two hundred forty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 14124 15877 31754 47631 63508 95262 174647 190524 349294 523941 698588 1047882 1698839 2095764 3397678 5096517 6795356 10193034 18687229 20386068 37374458 56061687 74748916 112123374 224246748